# 9 28 29 triangle

### Acute scalene triangle.

Sides: a = 9   b = 28   c = 29

Area: T = 125.857706178
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 18.05987943566° = 18°3'32″ = 0.31551854205 rad
Angle ∠ B = β = 74.67106082802° = 74°40'14″ = 1.3033247969 rad
Angle ∠ C = γ = 87.27105973632° = 87°16'14″ = 1.52331592642 rad

Height: ha = 27.96882359512
Height: hb = 8.99897901272
Height: hc = 8.68797973642

Median: ma = 28.14769358901
Median: mb = 16.27988205961
Median: mc = 14.90880515159

Inradius: r = 3.8143850357
Circumradius: R = 14.51664679213

Vertex coordinates: A[29; 0] B[0; 0] C[2.37993103448; 8.68797973642]
Centroid: CG[10.46597701149; 2.89332657881]
Coordinates of the circumscribed circle: U[14.5; 0.69112603772]
Coordinates of the inscribed circle: I[5; 3.8143850357]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.9411205643° = 161°56'28″ = 0.31551854205 rad
∠ B' = β' = 105.329939172° = 105°19'46″ = 1.3033247969 rad
∠ C' = γ' = 92.72994026368° = 92°43'46″ = 1.52331592642 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.